Atkin-Lehner |
5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13775h |
Isogeny class |
Conductor |
13775 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
577920 |
Modular degree for the optimal curve |
Δ |
4.2579370786076E+19 |
Discriminant |
Eigenvalues |
1 3 5- 1 -1 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1055617,275407166] |
[a1,a2,a3,a4,a6] |
Generators |
[204426:755162:729] |
Generators of the group modulo torsion |
j |
66605950671034293/21800637842471 |
j-invariant |
L |
9.8145472521234 |
L(r)(E,1)/r! |
Ω |
0.18740369864468 |
Real period |
R |
3.7407964437594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975bo1 13775j1 |
Quadratic twists by: -3 5 |